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Frequency-shift-invariant orthonormal wavelet packet representations

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3 Author(s)
B. S. Krongold ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA ; K. Ramchandran ; D. L. Jones

It is commonly known that the dyadic structure of wavelet expansions results in both time- and frequency-translation sensitivity of an input signal. We develop the first efficient method to reduce frequency alignment sensitivity by introducing a wavelet packet decomposition that is invariant to frequency shifts of a signal. A frequency-shifted wavelet packet library is presented, and an efficient best-basis algorithm is developed to determine the best signal representation among all frequency shifts of a signal. The algorithm computes all frequency-shifted coefficients in O(N2) operations, followed by an efficient depth-first tree search of the same complexity

Published in:

IEEE Transactions on Signal Processing  (Volume:47 ,  Issue: 9 )